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arxiv: 0805.1833 · v1 · submitted 2008-05-13 · 🧮 math.RA · math.DG

Complex structures on quasi-filiform nilpotent Lie algebras

classification 🧮 math.RA math.DG
keywords nilpotentquasi-filiformalgebrascomplexnilindexalgebraalreadybeen
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We present the classification of real nilpotent quasi-filiform Lie algebras endowed with a complex structure. A nilpotent Lie algebra g is called quasi-filiform is the nilindex is equal to dim(n)-2. We recall that the filiform case (nilindex =dim(g)-1) has already been studied.

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